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Finding the Fourth Proportional to 2,364.70, 3,527.97 and 2,188.30

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Solution

The fourth proportional to 2,364.70, 3,527.97 and 2,188.30 is: 3,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.70 : 3,527.97 = 2,188.30 : x
  2. Step 2: Convert to fraction form
    2,364.70/3,527.97 = 2,188.30/x
  3. Step 3: Cross multiply
    2,364.70x = 3,527.97 × 2,188.30
  4. Step 4: Simplify right side
    2,364.70x = 7,720,256.75
  5. Step 5: Solve for x
    x = 7,720,256.75/2,364.70
  6. Step 6: Final answer
    x = 3,264.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.